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09/21/2022
Quantitative Stability of Barycenters in the Wasserstein Space
Wasserstein barycenters define averages of probability measures in a geo...
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07/22/2022
Strong c-concavity and stability in optimal transport
The stability of solutions to optimal transport problems under variation...
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06/15/2021
Non-asymptotic convergence bounds for Wasserstein approximation using point clouds
Several issues in machine learning and inverse problems require to gener...
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05/26/2021
Convergence of a Lagrangian discretization for barotropic fluids and porous media flow
When expressed in Lagrangian variables, the equations of motion for comp...
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04/12/2021
Metasurfaces and Optimal transport
This paper provides a theoretical and numerical approach to show existen...
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01/20/2021
A Damped Newton Algorithm for Generated Jacobian Equations
Generated Jacobian Equations have been introduced by Trudinger [Disc. co...
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03/02/2020
Optimal transport: discretization and algorithms
This chapter describes techniques for the numerical resolution of optima...
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10/14/2019
Quantitative stability of optimal transport maps and linearization of the 2-Wasserstein space
This work studies an explicit embedding of the set of probability measur...
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08/16/2017
Light in Power: A General and Parameter-free Algorithm for Caustic Design
We present in this paper a generic and parameter-free algorithm to effic...
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07/05/2017
